On the existence of embedded surface waves along arrays of parallel plates

DV Evans; R Porter

doi:10.1093/qjmam/55.3.481

On the existence of embedded surface waves along arrays of parallel plates

DV Evans, R Porter

Research output: Contribution to journal › Article (Academic Journal) › peer-review

11 Citations (Scopus)

Abstract

The method of residue calculus is used to investigate the existence of embedded surface waves along an infinite periodic comb-like grating of thin plates. Solutions are shown to correspond to two conditions being satisfied. For sufficiently long plates the existence of solutions is proved, whilst results derived from simple formulae based on a long plate approximation are shown to be in excellent agreement with results to the full system of equations.

Translated title of the contribution	On the existence of embedded surface waves along arrays of parallel plates
Original language	English
Pages (from-to)	481 - 494
Number of pages	14
Journal	Quarterly Journal of Mechanics and Applied Mathematics
Volume	55 (3)
DOIs	https://doi.org/10.1093/qjmam/55.3.481
Publication status	Published - Aug 2002

Bibliographical note

Publisher: Oxford Univ Press
Other identifier: IDS number 584BB

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10.1093/qjmam/55.3.481

http://qjmam.oxfordjournals.org/cgi/reprint/55/3/481

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title = "On the existence of embedded surface waves along arrays of parallel plates",

abstract = "The method of residue calculus is used to investigate the existence of embedded surface waves along an infinite periodic comb-like grating of thin plates. Solutions are shown to correspond to two conditions being satisfied. For sufficiently long plates the existence of solutions is proved, whilst results derived from simple formulae based on a long plate approximation are shown to be in excellent agreement with results to the full system of equations.",

author = "DV Evans and R Porter",

note = "Publisher: Oxford Univ Press Other identifier: IDS number 584BB",

year = "2002",

month = aug,

doi = "10.1093/qjmam/55.3.481",

language = "English",

volume = "55 (3)",

pages = "481 -- 494",

journal = "Quarterly Journal of Mechanics and Applied Mathematics",

issn = "1464-3855",

publisher = "Oxford University Press",

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TY - JOUR

T1 - On the existence of embedded surface waves along arrays of parallel plates

AU - Evans, DV

AU - Porter, R

N1 - Publisher: Oxford Univ Press Other identifier: IDS number 584BB

PY - 2002/8

Y1 - 2002/8

N2 - The method of residue calculus is used to investigate the existence of embedded surface waves along an infinite periodic comb-like grating of thin plates. Solutions are shown to correspond to two conditions being satisfied. For sufficiently long plates the existence of solutions is proved, whilst results derived from simple formulae based on a long plate approximation are shown to be in excellent agreement with results to the full system of equations.

AB - The method of residue calculus is used to investigate the existence of embedded surface waves along an infinite periodic comb-like grating of thin plates. Solutions are shown to correspond to two conditions being satisfied. For sufficiently long plates the existence of solutions is proved, whilst results derived from simple formulae based on a long plate approximation are shown to be in excellent agreement with results to the full system of equations.

U2 - 10.1093/qjmam/55.3.481

DO - 10.1093/qjmam/55.3.481

M3 - Article (Academic Journal)

SN - 1464-3855

VL - 55 (3)

SP - 481

EP - 494

JO - Quarterly Journal of Mechanics and Applied Mathematics

JF - Quarterly Journal of Mechanics and Applied Mathematics

ER -

On the existence of embedded surface waves along arrays of parallel plates

Abstract

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